5. If AWKT has acute angles at K and T, and if WR 1 KT, show that R lies between K and T. (Hint: Use a proof by contradiction. There are 2 cases, either K-T -R or R-K -T. Show that both cases contradict the Exterior Angle Theorem, as shown in the 2nd figure below.) W 90° K RT TR

5. If AWKT has acute angles at K and T, and if WR 1 KT, show that R lies between K and T. (Hint: Use a proof by contradiction. There are 2 cases, either K-T -R or R-K -T. Show that both cases contradict the Exterior Angle Theorem, as shown in the 2nd figure below.) W 90° K RT TR

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CR: Review Exercises

Problem 35CR

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Question

5. If AWKT has acute angles at K and T, and if WRI KT, show that R
lies between K and T. (Hint: Use a proof by contradiction. There are 2
cases, either K -T -R or R-K -T. Show that both cases contradict
the Exterior Angle Theorem, as shown in the 2nd figure below.)
90
R T
K.
TR

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